Question

the table below shows the relationship between the travel time (in hours) and the rate of travel (in miles per hour) for a 150 - mile trip, assuming the rate is constant. complete the table to show how the rate of travel will decrease as travel time increases.

travel time (hours)		75	60	50		15
	25	5	10	19

Explanation:

Step1: Find total distance

Use given pair: $2.5$ hours, $60$ mph.
$\text{Distance} = \text{Rate} \times \text{Time} = 60 \times 2.5 = 150$ miles

Step2: Calculate missing time (75 mph)

$\text{Time} = \frac{\text{Distance}}{\text{Rate}} = \frac{150}{75} = 2$ hours

Step3: Calculate missing time (50 mph)

$\text{Time} = \frac{\text{Distance}}{\text{Rate}} = \frac{150}{50} = 3$ hours

Step4: Calculate missing rate (5 hours)

$\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{150}{5} = 30$ mph

Step5: Calculate missing rate (24 hours)

$\text{Rate} = \frac{\text{Distance}}{\text{Time}} = \frac{150}{24} = 6.25$ mph

Answer:

TRAVEL TIME (hours)	RATE OF TRAVEL (miles per hour)
2.5	60
3	50
5	30
10	15
24	6.25